Regulating firing rate of networks of pyramidal cells

In a minimal network model consisting of two pyramidal cells and one interneuron, we show how excitation and inhibition cooperate to produce firing rate changes in pyramidal cells that are consistent with observed place cell firing in region CA3 of the hippocampus. We show that inhibition from a common interneuron can synchronize networks of pyramidal cells with no direct connections. Moreover, recurrent excitation together with common inhibition can modulate burst profiles of synchronously firing cells from complex bursts to bursts with multiple spike to single spikes.